Nonlinear interference in a mean-field quantum model

Abstract

Using similar nonlinear stationary mean-field models for Bose-Einstein Condensation of cold atoms and interacting electrons in a Quantum Dot, we propose to describe the original many-particle ground state as a one-particle statistical mixed state of the nonlinear eigenstates whose weights are provided by the eigenstate non-orthogonality. We search for physical grounds in the interpretation of our two main results, namely, quantum-classical nonlinear transition and interference between nonlinear eigenstates.

RevTeX (pdfLaTeX), 7 pages with 5 png-figures included

References in corpus (3)

• Stationary states of a rotating Bose-Einstein condensate: routes to vortex nucleation
• Driving Bose-Einstein condensate vorticity with a rotating normal cloud
• Global attractor for a nonlinear oscillator coupled to the Klein-Gordon field

Cited by in corpus (1)

• Excitation of radial collective modes in a quantum dot: Beyond linear response